PSI - Issue 28

10

Author name / Structural Integrity Procedia 00 (2019) 000–000

Yakubu Kasimu Galadima et al. / Procedia Structural Integrity 28 (2020) 1094–1105

1103

Fig. 5. Perimeter of the different inclusion shapes

Fig. 6. Effective elastic modulus for different inclusion shapes

The graph shown in Fig. 6 shows an interesting trend. Generally, for a constant surface area of the inclusion, the elastic modulus shows a decreasing trend as the number of sides of the shape of inclusion increases. The highest value of the effective elastic modulus was recorded for triangular inclusion while the use of a decagon yielded the lowest effective elastic modulus. 6. Conclusions In concluding, a bond-based PD homogenization scheme was developed to study the effect of inclusion shape on effective properties of composites. To validate the numerical scheme, results of homogenisation using this scheme were compared with those obtained using FEM. Results from both models show good agreement. Furthermore, analysis of the RVE using different inclusion shapes suggested a dependence of effective properties on shape of the inclusion.